G-frames and Hilbert-Schmidt operators
نویسندگان
چکیده مقاله:
In this paper we introduce and study Besselian $g$-frames. We show that the kernel of associated synthesis operator for a Besselian $g$-frame is finite dimensional. We also introduce $alpha$-dual of a $g$-frame and we get some results when we use the Hilbert-Schmidt norm for the members of a $g$-frame in a finite dimensional Hilbert space.
منابع مشابه
g-frames and hilbert-schmidt operators
in this paper we introduce and study besselian $g$-frames. we show that the kernel of associated synthesis operator for a besselian $g$-frame is finite dimensional. we also introduce $alpha$-dual of a $g$-frame and we get some results when we use the hilbert-schmidt norm for the members of a $g$-frame in a finite dimensional hilbert space.
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عنوان ژورنال
دوره 37 شماره No. 4
صفحات 141- 155
تاریخ انتشار 2011-12-15
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